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1. POLYNOMIAL COCYCLES OF ALEXANDER QUANDLES AND APPLICATIONS.

Author

AMEUR, KHEIRA and SAITO, MASAHICO

Subjects
*COCYCLES, *HOMOLOGICAL algebra, *ABSTRACT algebra, *HOMOLOGY theory, *HOMOLOGY (Biology), *COMPARATIVE anatomy
Abstract

Cocycles are constructed by polynomial expressions for Alexander quandles. As applications, non-triviality of some quandle homology groups are proved, and quandle cocycle invariants of knots are studied. In particular, for an infinite family of quandles, the non-triviality of quandle homology groups is proved for all odd dimensions. [ABSTRACT FROM AUTHOR]

Published
2009
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